People who have been marginalized are left with psychic wounds. Many times, they internalize the vicious lies and stereotypes which are told about them. African Americans, for example, have a tendency to try to behave in a stereotypical fashion, because they think that's what's expected of them.
I honestly don't have a specific idea in mind for how to correct what has been done to members of marginalized groups. Acceptance is the most important thing, followed closely by encouragement.
As for myself, I require no special treatment from Christians. I chose the religion I follow, knowing full well that I would be ostracized in some circles. I simply don't travel in those circles if I can help it.